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A one-dimensional topological superconductor features a single fermionic zero mode that is delocalized over two Majorana bound states located at the ends of the system. We study a pair of spatially separated nanomechanical oscillators…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 Stefan Walter , Jan Carl Budich

We examine theoretically the visualization of Majorana fermions in a two-dimensional trapped ultracold atomic Fermi gas with spin-orbit coupling. By increasing an external Zeeman field, the trapped gas transits from non-topological to…

Quantum Gases · Physics 2012-02-24 Xia-Ji Liu , Lei Jiang , Han Pu , Hui Hu

In this work we investigate the spin-dependent transport through a double quantum dot embedded in a ferromagnetic tunnel junction and side attached to a topological superconducting nanowire hosting Majorana zero-energy modes. We focus on…

Mesoscale and Nanoscale Physics · Physics 2024-02-22 Piotr Majek , Ireneusz Weymann

The hope to realize Majorana fermions at the vortex core of a two dimensional topological superconductor has led to a variety of proposals for devices which exhibit topological superconductivity. Many of these include superconductivity…

Strongly Correlated Electrons · Physics 2014-11-05 Aaron Farrell , T. Pereg-Barnea

I consider a class of one-dimensional models where Majorana fermions interact with bosonic fields. Contrary to a more familiar situation where bosonic degrees of freedom are phonons and as such form a slow subsystem, I consider fast bosons.…

Strongly Correlated Electrons · Physics 2015-06-03 A. M. Tsvelik

The Josephson supercurrent through the hybrid Majorana--quantum dot--Majorana junction is investigated. We particularly analyze the effect of spin-selective coupling between the Majorana and quantum dot states, which emerges only in the…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 Luting Xu , Xin-Qi Li , Qing-Feng Sun

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

A topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, is shown to realize a one-dimensional topological superconductor with unpaired Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 A. Cook , M. Franz

Spin-polarized transport through a quantum dot strongly coupled to ferromagnetic electrodes with non-collinear magnetic moments is analyzed theoretically in terms of the non-equilibrium Green function formalism. Electrons in the dot are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Swirkowicz , M. Wilczynski , J. Barnas

We solve the problem of fermionic pairing mediated by a massless boson in the limit of large coupling constant. At weak coupling, the transition temperature is exponentially small and superconductivity is robust against phase fluctuation.…

Strongly Correlated Electrons · Physics 2016-08-31 Andrey V. Chubukov , Joerg Schmalian

We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 Shao-Kai Jian , Shuai Yin

By properly generalizing Nozie`res' Fermi liquid theory, we construct an Hamiltonian approach to the scattering of conduction electrons off a spin-1/2 impurity in the ovescreneed Kondo regime, as T -> 0. We derive the S-matrix at the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Domenico Giuliano , Arturo Tagliacozzo

We investigate Josephson currents in mesoscopic rings with a weak link which are in or near a topological superconducting phase. As a paradigmatic example, we consider the Kitaev model of a spinless p-wave superconductor in one dimension,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Falko Pientka , Alessandro Romito , Mathias Duckheim , Yuval Oreg , Felix von Oppen

We predict experimentally accessible signatures for helical Majorana fermions in a topological superconductor by coupling to two quantum dots in the local moment regime (corresponding to spin-$1/2$ impurities). Taking into account RKKY…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 E. Eriksson , A. Zazunov , P. Sodano , R. Egger

We discuss the signatures of a Kramers pair of Majorana modes formed in a Josephson junction on top of a quantum spin Hall system. We show that, while ignoring interactions on the quantum spin Hall edge allows arbitrary Andreev process in…

Strongly Correlated Electrons · Physics 2016-05-25 Dmitry I. Pikulin , Yashar Komijani , Ian Affleck

We discuss the possibility that heavy fermion superconductors involve odd-frequency pairing of the kind first considered by Berezinskii. Using a toy model for odd frequency triplet pairing in the Kondo lattice we are able to examine key…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

Luttinger holes with strong Zeemann and spin-orbit interactions in a wire proximity-coupled to a superconductor is a promising system for observation of Majorana fermions. Earlier treatments of confined Luttinger holes in wires ignored a…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Jingcheng Liang , Yuli Lyanda-Geller

We investigate the Josephson effect in one triple-terminal junction with embedded parallel-coupled double quantum dots. It is found that the inter-superconductor supercurrent has opportunities to oscillate in $4\pi$ period, with the…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Guang-Yu Yi , Xiao-Qi Wang , Zhen Gao , Hai-Na Wu , Wei-Jiang Gong

We study a vortex chain in a thin film of a topological insulator with proximity-induced superconductivity---a promising platform to realize Majorana zero modes (MZMs)---by modeling it as a two-leg Majorana ladder. While each pair of MZMs…

Superconductivity · Physics 2017-06-16 Hsiang-Hsuan Hung , Jiansheng Wu , Kuei Sun , Ching-Kai Chiu

We analyze the full counting statistics (FCS) of quantum dots in the Kondo regime contacted by normal and superconducting leads or an STM tip. To describe the Kondo resonance we use an effective model for the quantum dot in the Kondo regime…

Mesoscale and Nanoscale Physics · Physics 2012-05-01 H. Soller , A. Komnik